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Simplifying 3r + -2 = 8r + 10 Reorder the terms: -2 + 3r = 8r + 10 Reorder the terms: -2 + 3r = 10 + 8r Solving -2 + 3r = 10 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -2 + 3r + -8r = 10 + 8r + -8r Combine like terms: 3r + -8r = -5r -2 + -5r = 10 + 8r + -8r Combine like terms: 8r + -8r = 0 -2 + -5r = 10 + 0 -2 + -5r = 10 Add '2' to each side of the equation. -2 + 2 + -5r = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -5r = 10 + 2 -5r = 10 + 2 Combine like terms: 10 + 2 = 12 -5r = 12 Divide each side by '-5'. r = -2.4 Simplifying r = -2.4
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